Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.02318 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912688518463488 |
|---|---|
| author | Dimitrov, S. I. |
| author_facet | Dimitrov, S. I. |
| contents | In this article, we study the properties of $ψ$-amicable numbers. We prove that their asymptotic density relative to the positive integers is zero. We also propose generalizations of $ψ$-amicable numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_02318 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On $\boldsymbolψ$-amicable numbers and their generalizations Dimitrov, S. I. Number Theory In this article, we study the properties of $ψ$-amicable numbers. We prove that their asymptotic density relative to the positive integers is zero. We also propose generalizations of $ψ$-amicable numbers. |
| title | On $\boldsymbolψ$-amicable numbers and their generalizations |
| topic | Number Theory |
| url | https://arxiv.org/abs/2508.02318 |